Here is the full list of all 70 Batman: Return to Arkham - there are Arkham City achievements worth 1,500 gamerscore.
Complete New Game Plus
Obtain 48 medals on the original Arkham City ranked maps (as Batman)
Perform a perfect combo including all of Batman's combat moves (any play mode)
Obtain 24 medals on the original Arkham City ranked maps (as Batman)
Destroy all Harley Balloons
The joke's on who?
Defuse all bombs in 3 minutes or less
Snap Flash an unarmed thug, an armed thug, an environmental object and a Titan
Clean up the Dry Docks
Find a way into the secret base
No crimefighter should be without this
Use 5 different Quickfire gadgets in one fight as Robin in Harley Quinn's Revenge
Zip Kick 5 different thugs
Shield Bash 5 different thugs
Retrieve your stolen goods
Have 12 murderous dates with Calendar Man
Rescue all the hostages from Riddler
Complete all 40 of the Catwoman Riddler grid items
Collect all of Batman's gadgets and upgrades
Stop all assaults in Arkham City
Rescue the fifth hostage from Riddler
Jump off the tallest building in Arkham City and glide for 1 minute without touching the ground.
Reveal the mystery watcher
Track down the serial killer
Destroy it all
Stop the phone booth killer
Stop the contract operative
All the world is a stage
Don't look down
Rescue the fourth hostage from Riddler
Steal the score of a lifetime
Fight for survival
Collect enough evidence to locate the gun for hire
Use 5 different Quickfire gadgets in one fight (any play mode)
Reunite the separated couple
Time is running out
A deadly game of hide and seek
We are legion
Uncover the secret of Arkham City
Rescue the third hostage from Riddler
Stop the unstoppable
Last man standing
Clear the airwaves
Find someone to play remote Batarang catch with
Rescue the second hostage from Riddler
Rescue the first hostage from Riddler
Solve the first riddle
Complete one combat challenge without taking damage (any character)
Answer a ringing phone
Drop in on an old friend
Hammer the point home
Complete a combo of 50 moves (any play mode, any character)
There is only one way in
Answer the call for help
Complete all augmented reality training exercises
Save the medical volunteers
A moment of remembrance
Save the damsel, but is she in distress?
Become the Bat
Obtain all 72 medals on the original Arkham City ranked maps (as Batman)
Obtain 36 medals on the original Arkham City campaigns (as Batman)
Obtain 72 medals on the original Arkham City campaigns (as Batman)
Obtain all 108 medals on the original Arkham City campaigns (as Batman)
Main Story, Side Missions, Upgrades, Collectables, New Game Plus and Riddler's Revenge (as Batman)
Obtain all 72 medals on the original Arkham City ranked maps (as Catwoman)
Obtain all 108 medals on the original Arkham City campaigns (as Catwoman)
Obtain 78 medals on the original Arkham City and Robin Bundle Pack ranked maps (as Robin)
Obtain 114 medals on the original Arkham City and Robin Bundle Pack campaigns (as Robin)
Obtain 78 medals on the original Arkham City and Nightwing Bundle Pack ranked maps (as Nightwing)
Obtain 114 medals on the original Arkham City and Nightwing Bundle Pack campaigns (as Nightwing)